Arithmetic of higher-dimensional algebraic varieties /
One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has...
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Boston :
Birkhäuser,
[2004]
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| Series: | Progress in mathematics (Boston, Mass.) ;
v. 226. |
| Subjects: |
Algebraische Varietät
> Birationale Geometrie
> Diophantische Gleichung
> Selberg-Spurformel
> Elliptische Kurve.
Birationale Geometrie
> Algebraische Varietät
> Diophantische Gleichung
> Selberg-Spurformel
> Elliptische Kurve.
Diophantische Gleichung
> Birationale Geometrie
> Algebraische Varietät
> Selberg-Spurformel
> Elliptische Kurve.
Selberg-Spurformel
> Diophantische Gleichung
> Birationale Geometrie
> Algebraische Varietät
> Elliptische Kurve.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics: complex algebraic geometry, Galois and étale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory. This text, which focuses on higher-dimensional varieties, provides precisely such an interdisciplinary view of the subject. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higher-dimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry. Contributors: Batyrev, V.V.; Broberg, N.; Colliot-Thélène, J-L.; Ellenberg, J.S.; Gille, P.; Graber, T.; Harari, D.; Harris, J.; Hassett, B.; Heath-Brown, R.; Mazur, B.; Peyre, E.; Poonen, B.; Popov, O.N.; Raskind, W.; Salberger, P.; Scharaschkin, V.; Shalika, J.; Starr, J.; Swinnerton-Dyer, P.; Takloo-Bighash, R.; Tschinkel, Y.: Voloch, J.F.; Wittenberg, O. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xvi, 287 pages) : illustrations. |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9780817681708 (electronic bk.) 0817681701 (electronic bk.) |